What is the Greatest Common Factor of 79866 and 79883?

Greatest common factor (GCF) of 79866 and 79883 is 17.

GCF(79866,79883) = 17

We will now calculate the prime factors of 79866 and 79883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79866 and 79883.

How to find the GCF of 79866 and 79883?

We will first find the prime factorization of 79866 and 79883. After we will calculate the factors of 79866 and 79883 and find the biggest common factor number .

Step-1: Prime Factorization of 79866

Prime factors of 79866 are 2, 3, 17, 29. Prime factorization of 79866 in exponential form is:

79866 = 2¹ × 3⁴ × 17¹ × 29¹

Step-2: Prime Factorization of 79883

Prime factors of 79883 are 17, 37, 127. Prime factorization of 79883 in exponential form is:

79883 = 17¹ × 37¹ × 127¹

Step-3: Factors of 79866

List of positive integer factors of 79866 that divides 79866 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 29, 34, 51, 54, 58, 81, 87, 102, 153, 162, 174, 261, 306, 459, 493, 522, 783, 918, 986, 1377, 1479, 1566, 2349, 2754, 2958, 4437, 4698, 8874, 13311, 26622, 39933

Step-4: Factors of 79883

List of positive integer factors of 79883 that divides 79866 without a remainder.

1, 17, 37, 127, 629, 2159, 4699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79866 and 79883. The biggest common factor number is the GCF number.
So the greatest common factor 79866 and 79883 is 17.

Also check out the Least Common Multiple of 79866 and 79883